[Math] the time at which the hour & minute hands in a clock becomes straight

puzzle

At what time exactly does the minute hand and the hour hand in a clock becomes straight between 7O'clock & 8O'clock. Iam getting the time is in between 7:05 and 7:10 but what after that. can it be solved using graph theory ?

Best Answer

Try writing expressions for the angle of the minute hand and the angle of the hour hand with respect to time during that interval. Then set the expressions equal and solve.